Question

Which is the best estimate for the diagonal of a rectangle with a width of x and a length of 2x, if x is 1.33?

Answer 1

The best estimate for the diagonal of the rectangle is 3 ⇒ B

Step-by-step explanation:

In a rectangle:

• The length and the width are perpendicular
• The length of its diagonal = $\sqrt{(length)^{2}+(width)^{2}}$ (the diagonal is the hypotenuse of a right triangle whose legs are the length and the width of the rectangle)

∵ The width of a rectangle = x

∵ The length of the rectangle = 2x

∵ The diagonal = $\sqrt{(length)^{2}+(width)^{2}}$

- Substitute the length by 2x and the width by x

∴ The diagonal = $\sqrt{(2x)^{2}+(x)^{2}}$

∴ The diagonal = $\sqrt{4x^{2}+x^{2}}$

∴ The diagonal = $\sqrt{5x^{2}}$

∵ x = 1.33

- Substitute the value of x by 1.33 to find the diagonal

∴ The diagonal = $\sqrt{5(1.33)^{2}}$

∴ The diagonal = 2.973

∴ The diagonal ≅ 3

The best estimate for the diagonal of the rectangle is 3

Learn more:

You can learn more about the rectangles in brainly.com/question/13084321

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